On a condition for type-I Bose-Einstein condensation in random potentials in $d$ dimensions
Autor: | Kerner, Joachim, Pechmann, Maximilian, Spitzer, Wolfgang |
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Rok vydání: | 2019 |
Předmět: | |
Zdroj: | Journal de Math. Pures et Appli. (2020) |
Druh dokumentu: | Working Paper |
DOI: | 10.1016/j.matpur.2020.07.006 |
Popis: | In this paper we discuss Bose-Einstein condensation (BEC) in systems of pairwise non-interacting bosons in random potentials in $d$ dimensions. Working in a rather general framework, we provide a "gap condition" which is sufficient to conclude existence of type-I BEC in probability and in the $r$th mean. We illustrate our results in the context of the well-known (one-dimensional) Luttinger-Sy model. Here, whenever the particle density exceeds a critical value, we show in addition that only the ground state is macroscopically occupied. Comment: 26 pages |
Databáze: | arXiv |
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